Respuesta :
The length of the hypotenuse is 4.3. This is calculated as the square root of 3.4 squared plus 2.6 squared.
Answer:
Using Pythagoras theorem.
In any right angle triangle:
[tex]\text{Hypotenuse side}^2 = \text{Sum of the square of side}[/tex]
As per the statement:
For the values a = 3.4 and b = 2.6, which are legs of a right triangle.
We have to find c, the hypotenuse:
Apply the Pythagoras theorem, we have;
[tex]c^2 = a^2+b^2[/tex]
Substitute the values we have;
[tex]c^2=3.4^2+2.6^2 = 11.56+6.76 = 18.32[/tex]
then;
[tex]c=\sqrt{18.32} = 4.28018691[/tex]
Therefore, the value of c, the hypotenuse, to the nearest tenth is, 4.3 units